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labwork [276]
4 years ago
12

Y varies inversely with x. If y = 7 when x = -4, find y when x = 5.

Mathematics
1 answer:
Korvikt [17]4 years ago
4 0

Answer: Y =-5.6

Step-by-step explanation:

Y= K/X if y =7, x= -4 then substituting in the equation 7=K/-4

Then K= -28

Find y if x is 5.substituting 5 in the equation is Y=-28÷5 = -5.6

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2 years ago
How can sums and differences of cubes be identified for factoring?
Ad libitum [116K]
The sum of cubes is given as:
a³ + b³ = (a + b)(a² - ab + b²)

Example for the sum of cubes:

64x³+y³ ⇒ This is the sum of cubes because each term; 64, x³, and y³ are cube numbers

By writing each term as an expression of cube numbers, we have:
(4x)³ + (y)³ ⇒ 64 is 4³
Use the factorization of the sum of cubes, we have:
(4x + y) ( (4x)²- 4xy + y²)
(4x + y) (16x² - 4xy + y²)

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The difference of cubes can be factorized as:
(x³ - y³) = (x - y)(x² + xy + y²)

Example
(125x³ - 8y³) = (5x - 2y) ((5x)² + (5x)(2y) + (2y)²)
                     = (5x - 2y) (25x² + 10xy + 4y²)
7 0
3 years ago
You have accepted a job offer at an annual salary of $36,980. This salary includes a year-end bonus of $2900. You are paid twice
Free_Kalibri [48]

Your gross pay will be $1595.2 for each paycheck

<h3>What are Arithmetic operations?</h3>

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

You have accepted a job offer at an annual salary of $36,980.

This salary includes a year-end bonus of $2900

So your gross pay = 36980 + 2900 = 15952

You are paid twice per month

12 months × 2 checks = 24 paychecks

15952/ 25= 1595.2

Hence, your gross pay will be $1595.2 for each paycheck

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ1

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2 years ago
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miv72 [106K]

Answer:

. The dependent variable is the variable that changes in response to the independent variable. The two variables may be related by cause and effect

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3 years ago
Given congruent triangles ΔABC ≅ΔDEF where AB = 11, BC = 5, and DE = 6x-7. Find the value of x.
Sidana [21]

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3 years ago
Read 2 more answers
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